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Finding the Fourth Proportional to 10,779.81, 16,159.22 and 5,156.01

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Solution

The fourth proportional to 10,779.81, 16,159.22 and 5,156.01 is: 7,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.81 : 16,159.22 = 5,156.01 : x
  2. Step 2: Convert to fraction form
    10,779.81/16,159.22 = 5,156.01/x
  3. Step 3: Cross multiply
    10,779.81x = 16,159.22 × 5,156.01
  4. Step 4: Simplify right side
    10,779.81x = 83,317,099.91
  5. Step 5: Solve for x
    x = 83,317,099.91/10,779.81
  6. Step 6: Final answer
    x = 7,729.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.